What is the Greatest Common Factor of 65238 and 65256?

Greatest common factor (GCF) of 65238 and 65256 is 6.

GCF(65238,65256) = 6

We will now calculate the prime factors of 65238 and 65256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65238 and 65256.

How to find the GCF of 65238 and 65256?

We will first find the prime factorization of 65238 and 65256. After we will calculate the factors of 65238 and 65256 and find the biggest common factor number .

Step-1: Prime Factorization of 65238

Prime factors of 65238 are 2, 3, 83, 131. Prime factorization of 65238 in exponential form is:

65238 = 2¹ × 3¹ × 83¹ × 131¹

Step-2: Prime Factorization of 65256

Prime factors of 65256 are 2, 3, 2719. Prime factorization of 65256 in exponential form is:

65256 = 2³ × 3¹ × 2719¹

Step-3: Factors of 65238

List of positive integer factors of 65238 that divides 65238 without a remainder.

1, 2, 3, 6, 83, 131, 166, 249, 262, 393, 498, 786, 10873, 21746, 32619

Step-4: Factors of 65256

List of positive integer factors of 65256 that divides 65238 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2719, 5438, 8157, 10876, 16314, 21752, 32628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65238 and 65256. The biggest common factor number is the GCF number.
So the greatest common factor 65238 and 65256 is 6.

Also check out the Least Common Multiple of 65238 and 65256